The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than second. How much did each person receive? 1st person: 2nd person: 3rd person: show work

Step-by-step explanation:

Let a, b, c represent the amounts received by the first, second, and third person, respectively.

  2a-1 = b

  c = b+11

  a + b + c = 224

Substituting for c, we have ...

  a + b + b+11 = 224

  a +2b = 213

Substituting for b, we have ...

  a +2(2a -1) = 213

  a +4a -2 = 213 . . . . . eliminate parentheses

  5a = 215 . . . . . . . . . . add 2

  a = 43 . . . . . . . . . . . . .divide by 5

  b = 2a -1 = 2(43) -1 = 85

  c = b +11 = 85 +11 = 96

The amounts received were ...

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )